Search a number
-
+
722724830465764 = 227279210922232
BaseRepresentation
bin1010010001010100000111110…
…0110010100100111011100100
310111202221211010001220210220211
42210111001330302210323210
51224212110423044401024
611041035111550505204
7305142101016321400
oct24425017462447344
93452854101823824
10722724830465764
1119a311974445015
1269084ab7505204
1325036874cc2a89
14ca680d5b08100
155884ae873d594
hex291507cca4ee4

722724830465764 has 243 divisors, whose sum is σ = 1510691078733417. Its totient is φ = 301653987800256.

The previous prime is 722724830465713. The next prime is 722724830465773. The reversal of 722724830465764 is 467564038427227.

The square root of 722724830465764 is 26883542.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 503735739507364 + 218989090958400 = 22444058^2 + 14798280^2 .

It is a super-2 number, since 2×7227248304657642 (a number of 31 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 722724830465764.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 3240918522157 + ... + 3240918522379.

Almost surely, 2722724830465764 is an apocalyptic number.

722724830465764 is the 26883542-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 722724830465764

722724830465764 is an abundant number, since it is smaller than the sum of its proper divisors (787966248267653).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

722724830465764 is an equidigital number, since it uses as much as digits as its factorization.

722724830465764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 758661120, while the sum is 67.

The spelling of 722724830465764 in words is "seven hundred twenty-two trillion, seven hundred twenty-four billion, eight hundred thirty million, four hundred sixty-five thousand, seven hundred sixty-four".